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If 3x^2 = 48 find x

3x^2 = 48 x^2 = 16 x = 4
FL
Answered by Frankie L. • Maths tutor
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The equation 3x^2 – 5x + 4 = 0 has roots P and Q, find a quadratic equation with the roots (P + 1/2Q) and (Q + 1/2P)

We know the roots of the equation 3x 2 - 5x + 4 = 0 is P & Q, therefore is is equivalent to (x - P)(x - Q) = 0. Expanding the expression we get x 2 - x(P+Q) + PQ = 0 . Equating coefficents with the origi...
SC
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Find the General Second Order Differential Equation Using Substitution (A2 Further Maths)

Find the General Second Order Differential Equation 4x 2 d 2 y/dx 2 - 8x dy/dx +(8+4x 2 )y = x 4 , Transform Using y = vx. 1) Differentiate both sides of y = vx (apply Product Rule to right hand side) dy/dx ...
SC
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How does vaccination make a person immune to a disease?

An inactive or weak form of the pathogen is introduced to the patient. This stimulates the production of lymphocytes which then produce antibodies against the antigen. Memory cells are also generated. If the...
YA
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A student runs an experiment to decompose hydrogen peroxide to produce oxygen and water. Increasing the temperature of hydrogen peroxide increases the rate of reaction. Explain why.

When the hydrogen peroxide is heated, the particles have more energy so move faster. This means that they will collide more often, increasing the likelihood of successful collisions. More successful collisio...
YA
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